Geometric-Like Processes: An Overview and Some Reliability Applications

Richard Arnold, Stefanka Chukova, Yu Hayakawa, Sarah Marshall*


研究成果: Review article査読

14 被引用数 (Scopus)


The geometric process (GP) can be used to model the occurrence of events, which have an underlying monotonic trend. This type of trend can be observed in many practical problems in reliability, in particular in the recurrent failures of repairable systems. There are also common areas of everyday life, such as epidemiology, business, and health, where such trends in inter-event times can be observed. In order to provide greater flexibility in modelling phenomena and situations involving monotonic trends, a variety of extensions of the geometric process have been proposed. This paper provides an overview of geometric and the related geometric-like processes (GLP). We include a brief review of the geometric process and some basic definitions, facts and references for geometric-like processes. Some of their applications to areas such as maintenance, reliability, warranty analysis and others, along with appropriate references, are also outlined. Finally, we list a number of open research questions related to GLP.

ジャーナルReliability Engineering and System Safety
出版ステータスPublished - 2020 9月

ASJC Scopus subject areas

  • 安全性、リスク、信頼性、品質管理
  • 産業および生産工学


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